Answer:
[tex]\huge\boxed{\bf{^6C_4 = 10combinations}}[/tex]
Step-by-step explanation:
Given:-
To find:-
- How many combinations of 4 books can you choose from 6 books?
Ans:-
[tex]\sf \to ^6C_4 = \frac{6!}{4!(6 - 4)!} [/tex]
[tex]\sf \to ^6C_4 = \frac{6!}{4!2!} [/tex]
[tex]\sf \to ^6C_4 = \frac{\cancel6^2*5*\cancel{4!}}{\cancel{4!}\cancel{2!}} [/tex]
[tex]\sf \to ^6C_4 = 2*5 [/tex]
[tex]\sf \to ^6C_4 = 10combinations[/tex]
[tex]\: [/tex]
[tex]\huge\colorbox{blue}{BlackPain} [/tex]
